On the practical stability of control processes governed by implicit differential equations: the invariant ellipsoid based approach

DOI10.1016/j.jfranklin.2013.04.016zbMath1293.93234OpenAlexW2092836252MaRDI QIDQ396575

Vadim Azhmyakov, Raymundo Juárez, Alexander S. Poznyak

Publication date: 13 August 2014

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2013.04.016

zbMATH Keywords

robust controlimplicit differential equationsattractive ellipsoid (AE) methodinvariant ellipsoid techniquenonlinearly affine control systemsrobust feedback design

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Feedback control (93B52) Nonlinear systems in control theory (93C10) Design techniques (robust design, computer-aided design, etc.) (93B51)

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Cites Work

• Practical stability of control processes governed by semiexplicit DAEs
• Optimal filtering over linear observations with unknown parameters
• Stability and stabilization of nonlinear systems.
• Suppression of bounded exogenous disturbances: output feedback
• Lyapunov function design for finite-time convergence analysis: ``twisting controller for second-order sliding mode realization
• Singular control systems
• Solution of a problem in the optimal control of a discrete linear system
• Rejection of bounded exogenous disturbances by the method of invariant ellipsoids
• Optimal and robust control for linear state-delay systems
• Nonlocal theorems on existence of solutions of differential-algebraic equations of index 1
• Lyapunov Balancing for Passivity-Preserving Model Reduction of RC Circuits
• Practical output feedback stabilisation for a class of continuous-time dynamic systems under sample-data outputs
• On the existence and uniqueness of solutions of nonlinear semi-implicit differential-algebraic equations
• The structured phase margin for robust stability analysis of linear systems with phase and time delay uncertainties
• Differential-Algebraic Systems as Differential Equations on Manifolds
• Optimal rejection of persistent disturbances, robust stability, and mixed sensitivity minimization
• Linear Matrix Inequalities in System and Control Theory
• Descriptor discretized Lyapunov functional method: analysis and design
• Ellipsoidal Techniques for Reachability Under State Constraints
• Set-theoretic methods in control
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